Fractional model for Middle East respiratory syndrome coronavirus on a complex heterogeneous network.

In this paper, we present a new fractional epidemiological model on a heterogeneous network to investigate Middle East respiratory syndrome (MERS-CoV), which is caused by a virus in the coronavirus family. We also consider the development of equations for the camel population, given that it is the primary animal source of the virus, as well as direct human interaction with this population. The model is configured in an SIS form for both the human population and the camel population. We study the equilibrium positions of the system and the conditions for the existence of each of them, as well as the local stability of each equilibrium position. Then, we provide some numerical examples that compare real data and numerical results.

Asymptomatic and pre-symptoms transmission of covid-19 in heterogeneous epidemic network

The diversity of the spread pattern of the Corona virus is one of the most important reasons for the seriousness of the virus. Therefore, in this paper, we present a fractional mathematical SEIAS model that studies many ways of spreading (asymptomatic and pre-symptoms transmission) with the hypothesis of the spread of the virus in a heterogeneous network of individuals. The system consists of nonlinear equations which formed in fractional order. And it turns out that the system has two equilibrium positions (free and endemic positions). We also calculated the disease prevalence threshold (ℛ" ) within the network. The condition for the existence of the epidemiological situation has been determined. The stability of the free equilibrium position has been studied. The numerical part has been added to explain the proved theorems of the system in addition to clarifying the role of the heterogeneous network on the value of the virus spread threshold within the network. Keywords: Complex Networks, Novel Coronavirus (COVID-19), Asymptomatic and Pre-Symptoms Transmission, Basic. © 2022 NSP Natural Sciences Publishing Cor.

A fractional complex network model for novel corona virus in China.

As is well known the novel coronavirus (COVID-19) is a zoonotic virus and our model is concerned with the effect of the zoonotic source of the coronavirus during the outbreak in China. We present a SEIS complex network epidemic model for the novel coronavirus. Our model is presented in fractional form and with varying population. The steady states and the basic reproductive number are calculated. We also present some numerical examples and the sensitivity analysis of the basic reproductive number for the parameters.